In APQR, r = 9 inches, p = 6.6 inches and ZQ=6º. Find the area ofAPQR, to the nearest 10th of a square inch.

Answer:

  add the values of the symbols or symbol pairs

Step-by-step explanation:

You want to know how to convert Roman Numerals to decimal numbers.

The symbols used in Roman Numerals are {I, V, X, L, C, D, M}. Respectively, they have values {1, 5, 10, 50, 100, 500, 1000}. The values of these symbols are multiplied by 1000 by an overline.

A number can be converted to decimal by working right to left. In general, the value of a symbol is added to the total. When a symbol of lesser value than the previous one is encountered, its value is subtracted. (Usually, the value being subtracted is a power of 10.)

Aliases exist. Without knowledge of the rules the Romans used for writing their numbers, we can invent numbers that can be written two or more ways:

  1950 = MLM = MCML

As we noted above, the form MLM = 1950 would probably not be used, since the subtracted L is not a power of 10.

We expect that 1999 would likely be written MCMXCIX, rather than MIM. That way, the character being subtracted is not less than 10% of the character it is subtracted from.

__

Additional comment

Use of an overline is not the only way that the system is extended to higher values. Different notations are found in different contexts.

The basic idea of Roman Numerals is to express value by the character used, rather than its location in a number. It is not a "place value" system.

There is no zero. There are no negative numbers.

The reference to "symbol pairs" in the Answer section above is to recognize a pair of symbols in which the one on the left is subtracted.

Answer:

\(V=2.2\ \text{miles}^3\)

Step-by-step explanation:

Given that,

The length of hut, \(l=8\dfrac{1}{4}\ mi=\dfrac{33}{4}\ mi\)

Width of the hut, \(b=\dfrac{4}{5}\ mi\)

Height of the hut, \(h=\dfrac{1}{3}\ mi\)

We need to find the volume of the hut. The volume of hut will be equal to volume of cuboid i.e.

\(V=lbh\\\\V=\dfrac{33}{4}\times \dfrac{4}{5}\times \dfrac{1}{3}\\\\V=2.2\ \text{miles}^3\)

So, the volume of the hut is \(2.2\ \text{miles}^3\).

The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.

In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.

On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.

Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.

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Answer:I think the huskies this year they are a point by 76

And the opposite team is by 59

Step-by-step explanation:

Answer:

y < 3

Step-by-step explanation:

Answer:

y=3 i believe

cant see answers

Answer:0.0906

Step-by-step explanation:

Given that the prevalence of a certain type of tree allergy is 0.26 in the general population

X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.

Here n = 100

Required probability = the probability that exactly 26 of them will have this allergy

Answer:

The answer is

Step-by-step explanation:

From the question

\(\alpha\) is inversely proportional to \(\beta\) is written as

where k is the constant of proportionality

When

Substituting the values into the formula

we have

\(4 = \frac{k}{9} \)

cross multiply

k = 4 × 9

k = 36

So the formula for the variation is

\( \alpha = \frac{36}{ \beta } [/tex]

when

\(\beta\) = - 72

That's

\( \alpha = \frac{36}{ - 72} \)

Simplify

We have the final answer as

Hope this helps you

Answer:

the answer is 3/4 because 7/12 + 2/12 is 9/12 which simplified is 3/4

Step-by-step explanation:

it's important to recognize that different individuals have unique ways of coping with and releasing tension.

Some people find solace in activities such as meditation, exercise, or engaging in hobbies and creative pursuits. Others may seek support from friends, family, or therapists to talk through their feelings and find healthy outlets.

It's crucial to find healthy and constructive ways to release tension rather than resorting to harmful or destructive behaviors. This could involve engaging in physical activities like running, yoga, or sports to channel and release pent-up energy. Creative outlets like writing, painting, or playing an instrument can provide a means of self-expression and emotional release.

Ultimately, finding a release that works for each individual depends on personal preferences, interests, and circumstances. It's essential to explore different options and identify healthy outlets that promote well-being and help manage stress and tension effectively.

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The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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Answer:

they drink 1 gallon every 6 days, 2 gallons in 12 days. You never specified what rate you wanted the answer in so the answer could vary.

Step-by-step explanation:

Answer:

675 students

Step-by-step explanation:

The ratio of students who own a pet to total number of students = 3/4

SO if there are 900 students, 3/4 of this number should own pets

3/4 x 900 =  675

Answer:

6.2

Step-by-step explanation:

I don't think you need my explanation anymore.

10 solar panels according to me is the answer

Answer: 10

Step-by-step explanation:

40 hours/8 hours = 5 hours

5 hours *2 solar panels = 10 solar panels

Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.

Answer:

D) -33

Step-by-step explanation:

Answer:

D: -33 as it is like if it was positives just oppositite.

To estimate the sum of 15.92 + 0.85 using rounding, Jake can round each number to the nearest whole number and then perform the addition. The estimate would be 16 + 1, which equals 17.

Rounding is a method used to approximate numbers to a specified degree of accuracy. In this case, Jake can round 15.92 to 16 and 0.85 to 1. By rounding each number to the nearest whole number, he simplifies the calculation. Adding the rounded numbers, 16 + 1, gives an estimate of 17 as the sum.

Rounding to the nearest whole number disregards the decimal parts of the numbers, resulting in a less precise but quicker estimation. It is a useful technique when a rough estimate is sufficient or when dealing with large numbers.

However, it's important to note that rounding introduces some level of error, as it involves approximation. If precise calculations are required, rounding should be avoided, and the exact numbers should be used. In this case, the estimate of 17 provides a quick approximation of the sum 15.92 + 0.85 using rounding.

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A formula for the sequence 2.3, 2.8, 3.3, 3.8, ... is a_n = 1.8 + 0.5 n.

First, let us understand the arithmetic progression:

Arithmetic Progression (AP) is a number sequence in which the difference between any two consecutive numbers is a constant value.

We can find the common difference (d) by subtracting any two consecutive terms of arithmetic progression.

The nth term of an arithmetic progression is given by:

a_n = a + (n - 1)d

where

a = first term of an arithmetic progression

n = nth term of an arithmetic progression

d = common difference

We are given the following sequence;

2.3, 2.8, 3.3, 3.8, ...

We need to write a formula for the given sequence.

Let us find the common difference;

d = 2.8 - 2.3 = 0.5

a = 2.3

substitute the values in the above formula;

a_n = 2.3 + (n - 1) * 0.5

a_n = 2.3 + 0.5 n - 0.5

a_n = 1.8 + 0.5 n

So, the formula for the given sequence is a_n = 1.8 + 0.5 n.

Thus, a formula for the sequence 2.3, 2.8, 3.3, 3.8, ... is a_n = 1.8 + 0.5 n.

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Answer:

1/3!

Step-by-step explanation:

Look us Cymath on g0ogle, its a calculator that shows its work!

The critical value determines the boundary for rejecting or not rejecting the null hypothesis in a hypothesis test.

The purpose of the critical value is to divide the region into rejection and non-rejection regions. It helps determine the boundaries for rejecting or not rejecting the null hypothesis in a hypothesis test.

The critical value is based on the chosen level of significance and the distribution of the test statistic, such as the t-distribution or the standard normal distribution.

By comparing the test statistic to the critical value, we can make decisions regarding the acceptance or rejection of the null hypothesis.

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Answer:

8. a , c

9. b

10. c

Option C: At margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.

The formula for confidence interval of proportions is;

CI = p^ ± z√((p^(1 - p^)/n)

where;

CI is confidence interval

p^ is sample proportion

z is test statistic at confidence level

n is sample size

We are given;

n = 95

x = 88

Thus;

p^ = 88/95 = 0.9263

z at CL of 90% = 1.645

Now, margin of error is;

E = z√((p^(1 - p^)/n)

Thus;

E = 1.645√((0.9263(1 - 0.9263)/95)

E ≈ 0.044

Thus, at margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.

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Answer:

1. To make a bell curve (a normal distribution) with a mean of 41 and a standard deviation of 5, we can use the following values on the x-axis:

x = 21, 26, 31, 36, 41, 46, 51, 56, 61

These values are symmetric around the mean of 41, and each value is one standard deviation away from the mean.

On the y-axis, we can mark the percentage of people in each interval, which is calculated using the area under the curve. The total area under the curve is 100%.

2. To find the percentage of people who were below 31 years old, we need to calculate the area under the curve to the left of x = 31. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.0228, or 2.28%.

So, about 2.28% of people were below 31 years old.

3. To find the percentage of people who were above 31 years old, we can subtract the percentage of people below 31 years old from 100%.

100% - 2.28% = 97.72%

So, about 97.72% of people were above 31 years old.

4. To find the percentage of people between 41 and 46 years old, we need to calculate the area under the curve between x = 41 and x = 46. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.3413, or 34.13%.

So, about 34.13% of people were between 41 and 46 years old.

5. To find the percentage of people older than Kip (who is 38 years old), we need to calculate the area under the curve to the right of x = 38. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.6306, or 63.06%.

So, about 63.06% of people were older than Kip.

Step-by-step explanation:

Answer:

He is incorrect.

Step-by-step explanation:

The correct answer is 4,160.

Answer:

3. He is incorrect because he should have multiplied the exponents.

Step-by-step explanation:

6∧5 × 6∧4 = 369 Incorrect

Correct: 6∧5 = 7776

6∧4 = 1296

7776 × 1296 = 10,077,696

1. He is not correct, therefore the first answer is wrong.

2. You do not subtract the exponents unless one of the exponents is negative and you have the same bases. You have the same bases in this equation, however, neither one of them are negative. Therefore, the second answer is wrong.

3. The third answer is correct because if you were adding the two terms together then you would add the exponents together then multiply the base as many times as needed. However, since you are multiplying the two terms together, you also need to multiply the exponents together. From there, you then multiply the terms and get your answer.

4. The fourth answer is also incorrect because you need to multiply the bases together in order to get a correct answer.

I hope this helps!

Answer:0.119

Step-by-step explanation:5/14 divided by 3

Answer:

324

Step-by-step explanation:

The probability that you will have missed your friend is 27.78%

The time of meeting is given as:

Time = 90 minutes (i.e 12pm and 1:30pm)

Your time of arrival is given as:

Arrival = 12:25pm

If you missed your friend, it means that your friend arrives earlier.

So, the time spent by your friend is:

Friend= 12:25 - 12 = 25 minutes

The probability that you will have missed your friend is:

P = 25 minutes/90 minutes

Evaluate

P = 27.78%

Hence, the probability that you will have missed your friend is 27.78%

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Answer:

D

Step-by-step explanation:

Put  m+2  in place of 'x'

   (m+2)^2 + 1               <======expand

   m^2 + 4m + 4       + 1   =

   m^2   + 4m + 5

The expression will be 5 + 11x.

What is an expression?

An expression in mathematics is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

It is possible to compare expressions to phrases. In English, a phrase by itself may contain an action, but it does not constitute a whole sentence.

Explanation: 3 + 7

Let the number to be "x"

Step 1 : the number is multiplied by - 8

           So, -8 x

Step 2 : subtracted from the sum of 5 and 3 times the number

       So,  (5 +3x) - (-8x)

           = 5+3x + 8x

           = 5 + 11x

Hence, The final expression will be 5 + 11x.

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